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199623690 = 234571719109
BaseRepresentation
bin10111110011000…
…00010000001010
3111220121221020000
423321200100022
5402100424230
631450343430
74642526160
oct1371402012
9456557200
10199623690
11a2756262
1256a2ab76
1332484c36
141c725230
15127d2b60
hexbe6040a

199623690 has 320 divisors, whose sum is σ = 689990400. Its totient is φ = 40310784.

The previous prime is 199623689. The next prime is 199623691. The reversal of 199623690 is 96326991.

It is a happy number.

199623690 is a `hidden beast` number, since 19 + 9 + 623 + 6 + 9 + 0 = 666.

199623690 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199623689) and next prime (199623691).

It is a super-2 number, since 2×1996236902 = 79699235218432200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (199623691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1831356 + ... + 1831464.

It is an arithmetic number, because the mean of its divisors is an integer number (2156220).

Almost surely, 2199623690 is an apocalyptic number.

199623690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199623690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344995200).

199623690 is an abundant number, since it is smaller than the sum of its proper divisors (490366710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199623690 is a wasteful number, since it uses less digits than its factorization.

199623690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 199623690 is about 14128.8247918926. The cubic root of 199623690 is about 584.4365383258.

The spelling of 199623690 in words is "one hundred ninety-nine million, six hundred twenty-three thousand, six hundred ninety".